Results 21 to 30 of about 102,908 (120)
Minkowski-type and Alexandrov-type theorems for polyhedral herissons
Classical H.Minkowski theorems on existence and uniqueness of convex polyhedra with prescribed directions and areas of faces as well as the well-known generalization of H.Minkowski uniqueness theorem due to A.D.Alexandrov are extended to a class of ...
A. Cauchy +20 more
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EXISTENCE AND UNIQUENESS THEOREMS FOR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS
Summary: The authors study the following Cauchy-type problem for the nonlinear differential equation of fractional order \(\alpha\in \mathbb{C}\), \(\text{Re}(\alpha)> 0\), \[ (D^\alpha_{a+}y)(x)= f[x, y(x)],\quad n-1< \text{Re}(\alpha)\leq n,\quad n= -[-\text{Re}(\alpha)], \] \[ (D^{\alpha- k}_{a+} y)(a+)= b_k,\quad b_k\in \mathbb{C},\quad k= 1,2 ...
Kilbas, A. A. +2 more
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An Exact Perturbative Existence and Uniqueness Theorem
Significant changes: the paper has been corrected and made much shorter, simpler, and more streamlined.
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A Seifert manifold is a 3-dimensional manifold with a circle action. It is a circle bundle (with singularities) over a 2-dimensional orbifold. In this note, we discuss a generalized Seifert manifolds.
Lee, K. B., Raymond, Frank
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Reflected Backward Stochastic Difference Equations and Optimal Stopping Problems under g-expectation [PDF]
In this paper, we study reflected backward stochastic difference equations (RBSDEs for short) with finitely many states in discrete time. The general existence and uniqueness result, as well as comparison theorems for the solutions, are established under
An, Lifen, Cohen, Samuel N., Ji, Shaolin
core
Non-Abelian Vortices in Supersymmetric Gauge Field Theory via Direct Methods
Vortices in supersymmetric gauge field theory are important constructs in a basic conceptual phenomenon commonly referred to as the dual Meissner effect which is responsible for color confinement.
A. Actor +59 more
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On Uniqueness of Boundary Blow-up Solutions of a Class of Nonlinear Elliptic Equations
We study boundary blow-up solutions of semilinear elliptic equations $Lu=u_+^p$ with $p>1$, or $Lu=e^{au}$ with $a>0$, where $L$ is a second order elliptic operator with measurable coefficients.
Bandle C. +14 more
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A UNIFIED EXISTENCE AND UNIQUENESS THEOREM FOR STOCHASTIC EVOLUTION EQUATIONS [PDF]
AbstractAn existence and uniqueness theorem for mild solutions of stochastic evolution equations is presented and proved. The diffusion coefficient is handled in a unified way which allows a unified theorem to be formulated for different cases, in particular, of multiplicative space–time white noise and trace-class noise.
Jentzen, A., Kloeden, P. E.
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The fan theorem and unique existence of maxima
AbstractThe existence and uniqueness of a maximum point for a continuous real–valued function on a metric space are investigated constructively. In particular, it is shown, in the spirit of reverse mathematics, that a natural unique existence theorem is equivalent to the fan theorem.
Berger, Josef +2 more
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Existence and uniqueness theorems for solutions of McKean--Vlasov stochastic equations
New weak and strong existence and weak and strong uniqueness results for multi-dimensional stochastic McKean--Vlasov equations are established under relaxed regularity conditions.
Mishura, Yuliya S. +1 more
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